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digamma
Digamma function.
The digamma function ψ
is the logarithmic derivative of the gamma function, i.e.
Usage
var digamma = require( '@stdlib/math/base/special/digamma' );
digamma( x )
Evaluates the digamma function.
var v = digamma( -2.5 );
// returns ~1.103
v = digamma( 1.0 );
// returns ~-0.577
v = digamma( 10.0 );
// returns ~2.252
If x
is 0
or a negative integer
, the function returns NaN
.
var v = digamma( 0.0 );
// returns NaN
v = digamma( -1.0 );
// returns NaN
v = digamma( -2.0 );
// returns NaN
If provided NaN
, the function returns NaN
.
var v = digamma( NaN );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var digamma = require( '@stdlib/math/base/special/digamma' );
var x;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
x = (randu()*10.0) - 5.0;
v = digamma( x );
console.log( 'x: %d, f(x): %d', x, v );
}